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三维对流扩散方程的混合有限分析解

Mixing finite analytic method for 3-Dimension convection-diffusion equations

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【作者】 赵明登郑邦民

【Author】 Zhao Mingdeng;Zheng Bangmin(Wuhan University of Hydraulic and Electric Engineering)

【机构】 武汉水利电力大学河流工程系

【摘要】 本文应用线性徽分方程的算子迭加原理,将二维对流扩散方程的有限分析法交替方向用于三维对流扩散方程,从而得到较三维有限分析法简单实用的混合有限分析法.接着用数学分析法证明了该方法的稳定性和收敛性.并用指定强迫解方法对方程离散格式和程序设制等做了验证.最后计算了三维紊动射流,计算结果与实验资料一致,表明用混合有限分析法计算三维对流扩散问题是可行的.

【Abstract】 In this paper, a mixing finite analytic method is applied to solve 3-D convec tion-diffusion equations by using operator superposition principle in linear differential equation. The stability and convergence of this method has been proved mathematically and its discretization scheme is verified by prescribed solution forcing method. A 3-D turbulent jet is being simulated. The computational result is in good agreement with the experimental result. It shows that the mixing finite analytic method can be used to solve the 3-D convection and diffusion problems.

  • 【文献出处】 水利学报 ,JOURNAL OF HYDRAULIC ENGINEERING , 编辑部邮箱 ,1995年09期
  • 【分类号】O358
  • 【被引频次】10
  • 【下载频次】392
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